A cube has a surface area of 600 square meters. What is its volume? A.600 m³
B.300 m³
C.100 m³
D.1000 m³

D, 1000 m^3.

Step-by-step explanation: We can find the volume by breaking down the surface area.

The formula for the surface area of a cube is 6*x^2 with x being the side length and 6 being the number of sides. Thus we can form the equation as follows:

600 = 6*x^2 - original equation

x^2 = 100 - divide both sides by 6

x = 10 - square root both sides

Thus, the side length is 10.

We can find the volume with the formula l*w*h or, in this case, x^3.

We know that x = 10, so x^3 must be 1000.

Thus, the answer is D, 1000 m^3.

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

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step-by-step explanation: